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2 years ago

Simplify

Mathematics

1 answer:

aleksandr82 [10.1K]2 years ago

7 0

Answer:

A. 7- i

B. -20 -10i

C. 50

D. -1 +2i

Step-by-step explanation:

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Use an inequality to describe the interval of real numbers <br><br>(-3,8]

Naya [18.7K]

38 i think it means infinite

8 0

2 years ago

Need help anything helps thanks

yKpoI14uk [10]

A binomial squared is written like

$x^2+2ax+a^2$

So, we have $2a=6 \iff a=3$

So, we want to complete the square $(x+3)^2 = x^2+6x+9$

We can add and subtract 9 to write

$x^2+6x = x^2+6x+(9-9) = (x^2+6x+9)-9 = (x+3)^2-9$

5 0

2 years ago

The director of the library believes that 14% of the library's collection is checked out. If the director is right, what is the

Ksivusya [100]

Answer: 0.2643

Step-by-step explanation:

Let p be the population proportion and $\hat{p}$ be the sample proportion .

As per given question , we have

$p=0.14\\\\ \hat{p}=0.13\\\\ n=478$

z-score : $\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}$

$z=\dfrac{0.13-0.14}{\sqrt{\dfrac{0.14(1-0.14)}{478}}}\\\\=-0.630087269176\approx-0.63$

The required probability ( using z-table ):-

$P(z$

Hence, the probability that the proportion of books checked out in a sample of 478 books would be less than 13% = 0.2643

5 0

3 years ago

A used automobile dealership recently reduced the price of a used compact car by 6%. If the price of the car before discount was

Alchen [17]

Answer:

The discount = $1,128

New price = $17,672

Step-by-step explanation:

Price of car before discount = $18,800

Discount given = 6% of price of car

Discount value in dollars = 6% of $18,800 = 6/100*$18,800 = $1,128

Thus, the discount is $1,128

New price = Price of car before discount - discount = $18,800- $1,128

New price = $17,672

7 0

3 years ago

Match the information on the left with the appropriate equation on the right.

solmaris [256]

Answer:

Step-by-step explanation:

1). Equation of a line which has slope 'm' and y-intercept as 'b' is,

y = mx + b

If slope 'm' = 1 and y-intercept 'b' = -3

Equation of the line will be,

y = x - 3

x - y = 3

2). Equation of a line having slope 'm' and passing through a point (x', y') is,

y - y' = m(x - x')

If the slope 'm' = 1 and point is (-1, 2),

The the equation of the line will be,

y - 2 = 1(x + 1)

y = x + 1 + 2

y = x + 3

x - y = -3

3). Equation of a line passing through two points $(x_1, y_1)$ and $(x_2,y_2)$ will be,

$y-y_1=\frac{(y_2-y_1)}{(x_2-x_1)}(x-x_1)$

If this line passes through (-2, 3) and (-3, 4),

$y-3=\frac{(4-3)}{(-3+2)}(x+2)$

y - 3 = -1(x + 2)

y = -x - 2 + 3

y = -x + 1

x + y = 1

4 0

2 years ago